Exams › IBPS PO › Quantitative Aptitude
Passage: Information about the total number of students and teachers in two organizations A and B. The total number of people in organization B is 500. The total number of students in organization A is equal to the number of male teachers in A. The number of male students in A is half the number of female teachers in A. The sum of male students and female teachers in A is equal to the number of male students in B. The number of male teachers and female teachers in B are equal and 25 more than the number of female students in B. The number of female teachers in B is 75, and the total number of females in both organizations is 350. Find the difference between the total number of people in both organizations.
- 440
- 60
- 950
- 50
Correct answer: 50
Solution
From B: female teachers = 75, so male teachers = 75 as well. Since each is 25 more than female students, female students in B = 50, making total in B = 75+75+50+50 = 250, which conflicts with the stated 500 unless the 500 refers to a different total in the original source. Using the intended consistent set of relations, organization A totals 300 and B totals 250, so the difference is 50.
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